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 A110592 Number of digits in base-5 representation of n. String length of A007091. 10
 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,6 COMMENTS In terms of the repetition convolution operator #, where (sequence A) # (sequence B) = the sequence consisting of A(n) copies of B(n), then this sequence is the repetition convolution A110595 # n. Over the set of positive infinite integer sequences, # gives a nonassociative noncommutative groupoid (magma) with a left identity (A000012) but no right identity, where the left identity is also a right nullifier and idempotent. For any positive integer constant c, the sequence c*A000012 = (c,c,c,c,...) is also a right nullifier; for c = 1, this is A000012; for c = 3 this is A010701. LINKS G. C. Greubel, Table of n, a(n) for n = 0..5000 FORMULA G.f.: 1 + (1/(1 - x))*Sum_{k>=0} x^(5^k). - Ilya Gutkovskiy, Jan 08 2017 a(n) = floor(log_5(n)) + 1 for n >= 1. - Petros Hadjicostas, Dec 12 2019 MATHEMATICA Join[{1}, IntegerLength[Range[110], 5]] (* Harvey P. Dale, Aug 03 2016 *) CROSSREFS Cf. A007091, A081604, A110590, A110595, A330358. Sequence in context: A097944 A037203 A032556 * A279759 A185714 A168353 Adjacent sequences: A110589 A110590 A110591 * A110593 A110594 A110595 KEYWORD nonn,base,easy AUTHOR Jonathan Vos Post, Jul 29 2005 STATUS approved

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Last modified February 22 18:56 EST 2024. Contains 370260 sequences. (Running on oeis4.)